factor

**bigb** · November 17th 2008, 12:38 PM

Factor the following: (x^2/3-c^2/3)/x-c

I know it can be written as (x-c)(......)/(x-c)

I just dont know what (.....) is.

**masters** · November 17th 2008, 12:45 PM

Originally Posted by bigb

Factor the following: (x^2/3-c^2/3)/x-c

I know it can be written as (x-c)(......)/(x-c)

I just dont know what (.....) is.

Is this what you have written?

$\frac{x^{\frac{2}{3}}-c^{\frac{2}{3}}}{x-c}$

Or is it:

$\frac{\frac{x^2}{3}-\frac{c^2}{3}}{x-c}$

**bigb** · November 17th 2008, 12:54 PM

Originally Posted by masters

Is this what you have written?

$\frac{x^{\frac{2}{3}}-c^{\frac{2}{3}}}{x-c}$

Or is it:

$\frac{\frac{x^2}{3}-\frac{c^2}{3}}{x-c}$

the first way

**masters** · November 17th 2008, 01:29 PM

Originally Posted by bigb

the first way

$\frac{x^{\frac{2}{3}}-c^{\frac{2}{3}}}{x-c}$

$\frac{(x^{\frac{1}{3}}-c^{\frac{1}{3}})(x^{\frac{1}{3}}+c^{\frac{1}{3}})} {x-c}$

Thread: factor